Home
Class 12
MATHS
An electronic assembly consists of two s...

An electronic assembly consists of two subsystems, say, A and B. From previous testing procedures, the following probabilities are assumed to be known : `P(A` fails ) `= 0.2, P(`B fails alone ) `= 0.15, P(A` and B fail `) = 0.15` Evaluate the following probabilities: P(A fails | B has failed )

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|543 Videos
  • MOCK TEST-3

    MODERN PUBLICATION|Exercise EXERCISE|35 Videos
  • RELATIONS AND FUNCTION

    MODERN PUBLICATION|Exercise EXAMPLE|212 Videos

Similar Questions

Explore conceptually related problems

An electronic assembly consists of two subsystems, say, A and B. From previous testing procedures, the following probabilities are assumed to be known : P(A fails ) = 0.2, P( B fails alone ) = 0.15, P(A and B fail ) = 0.15 Evaluate the following probabilities: P(A fails alone)

Check whether the following probabilities P(A) and P(B) are consistently defined:- P(A) = 0.5, P(B) = 0.7, P(A nn B) = 0.6

Check whether the following probabilities P(A) and P(B) are consistently defined:- P(A) = 0.5, P(B) = 0.4, P(A uu B) = 0.8

Check whether the following Probabilities P (A) and P (B) are Consistently defined : P(A) =0.5, P (B)=0.7, P(A nn B) = 0.06 .

If P(A) = 0·4, P(B) = 0.2 and P(B/A) = 0·5, then P(A nn B) is :

Check whether the following Probabilities P (A) and P (B) are Consistently defined : P(A) =0.5. P (B)=0.4, P(A uu B) = 0.8 .

If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4 find: P(A|B)

Choose the correct answer : If P(A) = 0.8, P(B) = 0.5 P(B/A) = 0.4, find P(A nn B)

If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4 find: P(AcapB)

If P(A) = 1/2 , P(B) = 0, P(A//B) is :

MODERN PUBLICATION-PROBABILITY-EXERCISE
  1. Assume that the chances of a patient having a heart attack is 40%. It ...

    Text Solution

    |

  2. If each element of a second order determinant is either zero or one, w...

    Text Solution

    |

  3. An electronic assembly consists of two subsystems, say, A and B. From ...

    Text Solution

    |

  4. An electronic assembly consists of two subsystems, say, A and B. From ...

    Text Solution

    |

  5. Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5...

    Text Solution

    |

  6. If A and B are two events such that P(A) ne 0 and P(B/A) = 1, then

    Text Solution

    |

  7. If P(A/B) > P(A), then which of the following is correct : :

    Text Solution

    |

  8. If A and B are any two events such that : P(A) + P(B) – P(A and B) = P...

    Text Solution

    |

  9. A committee of 4 students is selected at random from a group consistin...

    Text Solution

    |

  10. A bag contains 5 red marbles and 3 black marbles. Three marbles are dr...

    Text Solution

    |

  11. A and B throw a pair of dice alternately. A wins the game if he gets a...

    Text Solution

    |

  12. Four balls are to be drawn without replacement from a box containing 8...

    Text Solution

    |

  13. Find the probability that in 10 throws of a fair die a score, which is...

    Text Solution

    |

  14. If A and B are two events such that P(A) ne 0 and P(B/A) = 1, then

    Text Solution

    |

  15. A and B are two events such that P (A) ne 0. Find P(B|A),if : AcapB = ...

    Text Solution

    |

  16. Coloured balls are distributed in four boxes as shown in the following...

    Text Solution

    |

  17. Suppose we have four boxes A,B,C and D containing coloured marbles as ...

    Text Solution

    |

  18. Suppose we have four boxes A,B,C and D containing coloured marbles as ...

    Text Solution

    |

  19. Suppose we have four boxes A,B,C and D containing coloured marbles as ...

    Text Solution

    |

  20. Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5...

    Text Solution

    |